72618605 has 18 divisors (see below), whose sum is σ = 90439146. Its totient is φ = 55975968.

The previous prime is 72618599. The next prime is 72618607. The reversal of 72618605 is 50681627.

It can be written as a sum of positive squares in 3 ways, for example, as 35688676 + 36929929 = 5974^2 + 6077^2 .

It is not a de Polignac number, because 72618605 - 2⁶ = 72618541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72618607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 704984 + ... + 705086.

It is an arithmetic number, because the mean of its divisors is an integer number (5024397).

Almost surely, 2^72618605 is an apocalyptic number.

It is an amenable number.

72618605 is a deficient number, since it is larger than the sum of its proper divisors (17820541).

72618605 is an equidigital number, since it uses as much as digits as its factorization.

72618605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 72618605 is about 8521.6550622517. The cubic root of 72618605 is about 417.2048040581.

The spelling of 72618605 in words is "seventy-two million, six hundred eighteen thousand, six hundred five".